Abstract
The kinetic parameters and thermodynamic quantities of corn starch hydrolysate fermentation by Saccharomyces cerevisiae are evaluated following two different approaches and using the experimental data of batch fermentations carried out at different temperatures. The former approach, that is based on the Arrhenius equation, allows for the separate calculations of thermodynamic quantities referred to the transition states of both alcohol fermentation and thermal deactivation. The latter, supposing the existence of an instantaneous equilibrium between active and inactive forms of the biocatalyst, includes all these quantities in the same relationship. The results obtained in this study suggest that the simple activated-complex theory is inadequate to the kinetic and thermodynamic description of a process using microorganisms, while the so-called “thermodynamic approach” can represent a promising alternative.
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Abbreviations
- A 1/h:
-
Arrhenius pre-exponential factor of fermentation
- B 1/h:
-
Arrhenius pre-exponential factor of thermal deactivation in eq. (5)
- C :
-
entropy contribution appearing in eq. (12)
- e g/l:
-
enzyme concentration
- E :
-
enzyme
- E * kJ/mol:
-
empirical activation energy of fermentation
- E *′ kJ/mol:
-
energy term in eq. (5)
- E *d kJ/mol:
-
empirical activation energy of thermal deactivation
- h kJ·h:
-
Planck's constant
- k 1/h:
-
reaction rate constant
- k B kJ/K:
-
Boltzmann's constant
- P g/l:
-
alcohol concentration
- RkJ/mol·K:
-
ideal gas constant
- t h:
-
fermentation time
- T K:
-
absolute temperature
- X g/l:
-
cell mass concentration
- μ 1/h:
-
specific growth rate
- ν 1/h:
-
specific productivity
- ΔH * kJ/mol:
-
activation enthalpy of fermentation
- ΔH * D kJ/mol:
-
activation enthalpy of thermal deactivation
- ΔH 0 D kJ/mol:
-
standard variation of thermal deactivation enthalpy
- ΔG * kJ/mol:
-
activation free enthalpy of fermentation
- Δ * D kJ/mol:
-
activation free enthalpy of thermal deactivation
- ΔG 0kJ/mol:
-
standard variation of thermal deactivation free enthalpy
- ΔS * kJ/mol·K:
-
activation entropy of fermentation
- ΔS * D kJ/mol·K:
-
activation entropy of thermal deactivation
- ΔS 0 D kJ/mol·K:
-
standard variation of thermal deactivation entropy
- max:
-
maximum value
- opt:
-
optimal value
- N :
-
native form of the enzyme
- D :
-
deactivated form of the enzyme
- 0 :
-
total or starting value
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Converti, A., Bargagliotti, C., Cavanna, C. et al. Evaluation of kinetic parameters and thermodynamic quantities of starch hydrolysate alcohol fermentation by Saccharomyces cerevisiae. Bioprocess Engineering 15, 63–69 (1996). https://doi.org/10.1007/BF00372979
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DOI: https://doi.org/10.1007/BF00372979